126541464 has 64 divisors (see below), whose sum is σ = 363843840. Its totient is φ = 35925120.

The previous prime is 126541427. The next prime is 126541487. The reversal of 126541464 is 464145621.

It is a super-2 number, since 2×126541464² = 32025484222526592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25074 + ... + 29694.

It is an arithmetic number, because the mean of its divisors is an integer number (5685060).

Almost surely, 2^126541464 is an apocalyptic number.

126541464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126541464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181921920).

126541464 is an abundant number, since it is smaller than the sum of its proper divisors (237302376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126541464 is a wasteful number, since it uses less digits than its factorization.

126541464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4796 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 126541464 is about 11249.0650278145. The cubic root of 126541464 is about 502.0468943457.

The spelling of 126541464 in words is "one hundred twenty-six million, five hundred forty-one thousand, four hundred sixty-four".